@article{CM_1983__50_2-3_109_0, author = {Carlson, James and Green, Mark and Griffiths, Phillip and Harris, Joe}, title = {Infinitesimal variations of hodge structure {(I)}}, journal = {Compositio Mathematica}, pages = {109--205}, publisher = {Martinus Nijhoff Publishers}, volume = {50}, number = {2-3}, year = {1983}, mrnumber = {720288}, zbl = {0531.14006}, language = {en}, url = {http://archive.numdam.org/item/CM_1983__50_2-3_109_0/} }
TY - JOUR AU - Carlson, James AU - Green, Mark AU - Griffiths, Phillip AU - Harris, Joe TI - Infinitesimal variations of hodge structure (I) JO - Compositio Mathematica PY - 1983 SP - 109 EP - 205 VL - 50 IS - 2-3 PB - Martinus Nijhoff Publishers UR - http://archive.numdam.org/item/CM_1983__50_2-3_109_0/ LA - en ID - CM_1983__50_2-3_109_0 ER -
%0 Journal Article %A Carlson, James %A Green, Mark %A Griffiths, Phillip %A Harris, Joe %T Infinitesimal variations of hodge structure (I) %J Compositio Mathematica %D 1983 %P 109-205 %V 50 %N 2-3 %I Martinus Nijhoff Publishers %U http://archive.numdam.org/item/CM_1983__50_2-3_109_0/ %G en %F CM_1983__50_2-3_109_0
Carlson, James; Green, Mark; Griffiths, Phillip; Harris, Joe. Infinitesimal variations of hodge structure (I). Compositio Mathematica, Tome 50 (1983) no. 2-3, pp. 109-205. http://archive.numdam.org/item/CM_1983__50_2-3_109_0/
[1] On Castelnuovo's inequality for algebraic curves I. Trans. AMS. 251 (1979) 357-373. | MR | Zbl
:[2] Topics in the Theory of Algebraic Curves, Princeton Univ. Press, (to appear).
, , and :[3] Finite dimensional Teichmüller spaces and generalizations. Bull. AMS. 5 (1981) 131-172. | MR | Zbl
:[4] Infinitesimal variations of Hodge structure and the global Torelli problem. Journees de geometrie algebrique d'Angers, Sijthoff and Noordhoff (1980) 51-76. | MR | Zbl
and :[5] The moduli and global period mapping of surfaces with K2 = pg = 1. Comp. Nath. 41 (1980) 401-414. | Numdam | MR | Zbl
:[6] The monodromy weight filtration for a several variables degeneration of Hodge structures of weight two Invent. Math. 52 (1979) 131-142. | MR | Zbl
and :[7] Counter examples to global Torelli for certain simply connected surfaces. Bull. AMS. 2 (1980) 297-299. | MR | Zbl
:[8] Degenerations of Kahler manifolds. Duke Math. J. 44 (1977) 215-290. | MR | Zbl
:[9] Some transcendental aspects of algebraic geometry. Proceedings of symposia in Pure Mathematics Volume 29 (1975), A.M.S. | MR | Zbl
and :[10] Théorie de Hodge I, II, III, Actes de Congrès international des Mathematiciens (Nice, 1970), Gauthier-Villars, 1971, 1, pp. 425-430; Publ. Math. I.H.E.S. 40 (1971) 5-58; Publ. Math. I.H.E.S. 44 (1974) 5-78. | Numdam | MR
:[11] The irreducibility of the space of curves of given genus. Publ. Math. I.H.E.S. 36 (1969) 75-110. | Numdam | MR | Zbl
and :[12] Extendability of the Abel-Jacobi map. To appear.
and :[13] Hodge theory, degenerations, and the global Torelli problem. Thesis, Harvard University, 1981.
:[14] The generic Torelli theorem for the Prym map. Invent. Math. 67 (1982) 473-490. | MR | Zbl
and :[15] On Kähler fiber spaces over curves. J. Math. Soc. Japan 30 (1978) 779-794. | MR | Zbl
:[16] Periods of integrals on algebraic manifolds. Bull. Amer. Math. Soc. 75 (1970) 228-296. | MR | Zbl
:[ 17] Recent developments in Hodge theory: a discussion of techniques and results. In: Discrete Subgroups of Lie Groups and Applications to Moduli, Oxford 1975. | MR | Zbl
and :[18] Locally homogeneous complex manifolds. Acta Math. 123 (1970) 253-302. | MR | Zbl
and :[19] Periods of integrals on algebraic manifolds I and II. Amer. J. Math. 90 (1968) 568-626 and 805-865. | Zbl
:[20] Principles of Algebraic Geometry, John Wiley, 1978. | MR | Zbl
and :[21] Periods of integrals on algebraic manifolds III. Publ. Math. I.H.E.S. 38 (1970) 125-180. | Numdam | MR | Zbl
:[22] Periods of certain rational integrals. Ann. Math. 90 (1969) 460-541. | MR | Zbl
:[23] A theorem concerning the differential equations satisfied by normal functions associated to algebraic cycles. Amer. J. Math. 101 (1979) 94-131. | MR | Zbl
:[24] On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry. Duke Math. J. 41 (1974) 775-814. | MR | Zbl
:[25] Residues and zero-cycles on an algebraic variety. Ann. Math. 108 (1978) 461-505. | MR | Zbl
: and :[26] On the deRham cohomology of algebraic varieties. Publ. Math. I.H.E.S. 29 (1966) 95-103. | Numdam | Zbl
:[27] The Theory and Applications of Harmonic Integrals, Cambridge University Press, 1941. | MR | Zbl
:[28] Characterization of abelian varieties. Comp. Math. 43 (1981) 253-276. | Numdam | MR | Zbl
:[29] On deformations of complex analytic structures, I and II. Ann. Math. 67 (1958) 328-466. | MR | Zbl
and :[30] A theorem of completeness of characteristic systems for analytic families of compact subvarities of complex manifolds. Ann. Math. 75 (1962) 146-162. | MR | Zbl
:[31] New proof for the existence of locally complete families of algebraic structures. In: Proceedings of the Conference on Complex Analysis, Minneapolis 1964, NY, Springer-Verlag, 1965. | MR | Zbl
:[32] L'Analysis Situs et la Geometrie Algebrique, Paris, Gauthier-Villars, 1924. | JFM
:[33] Higher Picard varieties. Amer. J. Math. 90 (1968) 1165-1199. | MR | Zbl
:[34] On the module of intermediate Jacobians. Amer. J. Math. 91 (1969) 671-682. | MR | Zbl
:[35] Correspondence, motifs and monoidal transformations. Math. USSR- Sbornik 6 (1968) 439-470. | Zbl
:[36] Algebraic homology classes on algebraic varieties. Izv. Akad. Nauk. 31 (1967) 225-268. | MR | Zbl
:[37] Geometric Invariant Theory, Springer-Verlag 1966. | MR | Zbl
:[38] On the local Torelli problem for algebraic curves. In: Journeés de geometrie algébrique d'Angers, Rockville Sijthoff & Noordhoff (1980). | MR | Zbl
and :[39] Infinitesimal variation of Hodge structure. Notes from Leyden University, 1980.
and :[40] A Torelli theorem for algebraic surfaces of type K-3. Izv. Akad. Nauk. 35 (1971) 530-572. | Zbl
and :[41] Theorie des fanctions algébriques de deux variables independantes, Paris, Gauthier-Villars 1897 and 1906; and Bronx, NY, Chelsea 1971. | JFM
and :[42] On Petri's analysis of the linear system of quadrics through a canonical curve. Math. Ann. 206 (1973) 157-175. | MR | Zbl
:[43] On the monodromy theorem for isolated hypersurface singularities. Invent. Math. 58 (1980) 289-301. | MR | Zbl
:[44] Variations of Hodge structures: the singularities of the period mapping. Invent. Math. 22 (1973) 211-319. | Zbl
:[45] Faisceaux algébriques cohérents. Ann. Math. 61 (1955) 197-278. | MR | Zbl
:[46] Limits of Hodge structures. Invent. Math. 31 (1976) 229-257. | MR | Zbl
:[47] Surfaces of general type with pg = 1 and (K.K) = 1 (I). Ann. Ec. Norm. Sup. 13 (1980) 1- 21. | Numdam | Zbl
:[48] Variation of Hodge structure and the local Torelli problem. Thesis, Harvard University, 1979.
:[49] On Picard varieties. Amer. J. Math. 74 (1952) 865-894. | MR | Zbl
:[50] Generalized and Intermediate Jacobians and the theorem on normal functions. Invent. Math. 33 (1976) 185-222. | MR | Zbl
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